Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-4 + 3\right)\left(-6 - -5\right) - {\left(6 + -2\right)}^{2} $$
Correct Answer
$$ -15$$ or -15.0000

2. Simplify 2

Simplify the following expression: $$ 2\times2\times2\frac{1 - 1}{2 + 1} $$
Correct Answer
$$ 0$$ or 0.0

3. Fractions 1

Simplify the following expression: $$ \frac{-6}{2} - \frac{-2}{4} $$
Correct Answer
$$ \frac{-5}{2}$$ or -2.5

4. Fractions 2

Simplify the following expression: $$ \frac{5}{6}\frac{-1}{4} $$
Correct Answer
$$ \frac{-5}{24}$$ or -0.20833333333333334

5. Significant figures

1. Write the following to 3 significant figures: 3448.8084
Correct Answer
3450 or $$3.45\times10^{3}$$
2. Write the following to 4 significant figures: 285.79427
Correct Answer
285.8 or $$2.858\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.00000217444
Correct Answer
$$2.174\times10^{-6}$$
2. Write the following in standard form to 3 significant digits: 0.00504351
Correct Answer
$$5.04\times10^{-3}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.007275809
Correct Answer
$$7.2758\times10^{-3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.000000803102
Correct Answer
$$803.10\times10^{-9}$$

8. Simplify 2

Simplify the following expression: $$ 2\left(-2 - 4\right) - \left(\frac{1}{-3} + \frac{2}{-3}\right) $$
Correct Answer
$$ -11$$ or -11.0000

9. Simplify 1

Simplify the following expression: $$ \left(-5 - 1\right)\left(5 + -5\right) - {\left(4 - -1\right)}^{2} $$
Correct Answer
$$ -25$$ or -25.0000

10. Simplify 2

Simplify the following expression: $$ \frac{\frac{4}{6} + \frac{-6}{1}}{{\left(6 - 3\right)}^{2}} $$
Correct Answer
$$ \frac{-16}{27}$$ or -0.592593


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